1382224596480 has 1920 divisors, whose sum is σ = 6177204633600. Its totient is φ = 277800026112.

The previous prime is 1382224596469. The next prime is 1382224596491. The reversal of 1382224596480 is 846954222831.

1382224596480 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 2 + 2 + 4 + 596 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1382224596469) and next prime (1382224596491).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1382224596480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7721925031 + ... + 7721925209.

It is an arithmetic number, because the mean of its divisors is an integer number (3217294080).

Almost surely, 2^{1382224596480} is an apocalyptic number.

1382224596480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382224596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088602316800).

1382224596480 is an abundant number, since it is smaller than the sum of its proper divisors (4794980037120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1382224596480 is a wasteful number, since it uses less digits than its factorization.

1382224596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1382224596480 in words is "one trillion, three hundred eighty-two billion, two hundred twenty-four million, five hundred ninety-six thousand, four hundred eighty".